 | Robert Simson - Trigonometry - 1835 - 513 pages
...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 lines are parallel to one another. Let the straight line EF, which ]£ falls upon the two straight lines... | |
 | Mathematics - 1835 - 684 pages
...same side of the line. Therefore, if one straight line fall upon two other straight lines, so as to make the exterior angle equal to the interior and opposite upon the same side, those two straight lines shall be parallel : and conversely. • Cor. 2. The angles AEF, EFD, are called... | |
 | Euclid - 1835 - 540 pages
...two parallel straight ti?isepropo- 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... | |
 | Mathematics - 1836 - 472 pages
...straight lines are parallel. XXVIII. 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... | |
 | Euclid - Geometry - 1837 - 410 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 EGB... | |
 | Euclides - Euclid's Elements - 1837 - 112 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 the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration.... | |
 | 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... | |
 | John Playfair - Geometry - 1837 - 332 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 tu two right angles. Let the... | |
 | Robert Simson - Geometry - 1838 - 434 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 - 264 pages
...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... | |
| |
Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
