| John Radford Young - Euclid's Elements - 1827 - 228 pages
...angles equal, the exterior angle equal to the interior opposite one, and the two interior angles on **the same side together equal to two right angles. Let the straight line** EFG fall upon the parallels AB and CD ; the alternate angles AGF and DFG are equal, the exterior angle... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...the exterior angle equal to the interior and opposite upon the same s1de 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... | |
| John Playfair - Geometry - 1829 - 210 pages
...equal to two right angles. — See figure on next page. Let the straight line EF intersect the two **parallel straight lines AB, CD; the alternate angles AGH, GHD are equal,** and the angles BGH, GHC are equal; and the two interior angles B •• M , GH D, on the same side... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or **the two interior angles upon the same side together equal to two right angles,** those two straight lines are parallel • . • cor. 13 (f) And conversely, if a straight line falls... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another. **Let the straight line EF fall upon the •? parallel straight lines AB, CD ; the** alter- ^ - ^& - B nate angles GHC, HGB are equal to one £~ - j^r - 5 another. ^F For, if the angle... | |
| Mathematics - 1835 - 684 pages
...equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or **the two interior angles upon the same side together equal to two right angles,** those two straight lines are parallel . . . cor. 13 (e) And conversely, if a straight line falls upon... | |
| Euclid - 1835 - 540 pages
...the exterior angle equal to the interior and opposite upon the same side of the fine ; 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 J£ falls upon... | |
| Mathematics - 1836 - 488 pages
...alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle **upon the same side ; and likewise the two interior...the same side together equal to two right angles.** XXX. Straight lines which are parallel to the same straight line are parallel to one another. XXXII.... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...angles, on the same side equal to two right angles. . v -. ^ •, Let the, straight line EF fall on **the parallel; straight lines AB, CD ; the alternate- angles AGH, ' GHD are** H\ D V ... •••Atf.-.-i...-- -.;,... equal, the exterior angle EGB is equal to the interior arid... | |
| John Playfair - Euclid's Elements - 1837 - 332 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 angles upon the same side together equal** tu two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate... | |
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