 | Elias Loomis - Geometry - 1871 - 302 pages
...two other straight lines, makei 'he alternate angles equal to each other, or makes an exterior «ngle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. Let the straight line EF, which j. mtersects the two straight... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...:. AB and CD are parallel. Def. 26. QEI). PROPOSITION XXVIII. THEOREM. If a straight line, falling upon two other straight lines, make the exterior angle...equal to the interior and opposite upon the same side oj' the line, or make the interior angles upon the same side together equal to two right angles; the... | |
 | Henry Major - Student teachers - 1873 - 588 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... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...alternate angles equal; also any exterior angle equal to the interior and opposite angle; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD; the \ T alternate angles AG II, GHD... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...easily deduced the following Theorems : 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, the two straight lines shall be parallel. c /G JD Let the straight ImeEFGH, falling upon the two straight... | |
 | Euclides - 1874 - 120 pages
...to CD. Therefore, if a straight line, &c. QED PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of tlie line, or make the interior angles on the same side together equal to... | |
 | Edward Atkins - 1874 - 428 pages
...line fall upon two parallel straightlines, it makes the alternate angles equal to one anotlier, and the exterior angle equal to the interior and opposite upon the same side; and also tlie two interior angles upon the same side together equal to tico right angles. Let the straight... | |
 | Euclides - 1874 - 342 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... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...alternate angles equal; also any exterior angle equal to the interior and opposite angle; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD; the \ , alternate angles AGH, GHD... | |
 | Edward Atkins - 1874 - 426 pages
...another, and the exterior angle equal to the interior and opposite upon the same side; and also 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... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
