 | Andrew Bell - 1837 - 290 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD, are equal to one another... | |
 | Euclides - 1838 - 264 Seiten
...that one (CD last proposition) will be parallel to another (AB) provided a line which cuts both makes interior angles on the same side together equal to two right angles. A second (ilk) which causes the interior angles ISC II, KHG to be leu than two right angles, being... | |
 | Euclides - 1841 - 378 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD; the alternate angles AGH, GHD shall be equal to one... | |
 | Euclides - 1842 - 316 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD; the alternate angles AGH, GHD are equal to one another... | |
 | John Playfair - 1842 - 332 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another... | |
 | 1844 - 688 Seiten
...make the exterior angle equal to the interior and opposite upon the 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 the square described upon one of the sides of a triangle... | |
 | Euclid - 1845 - 218 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD; the alternate angles AGH, GHD, are equal to one another... | |
 | Euclid, James Thomson - 1845 - 382 Seiten
...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 EGB equal to the interior... | |
 | Euclides - 1845 - 546 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD. Then the alternate angles A GH, G HD shall be equal... | |
 | Euclid, John Playfair - 1846 - 334 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another... | |
| |
... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight 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 ;... 
