| Robert Simson - Trigonometry - 1835 - 544 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 - 488 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, James Thomson - 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 - 290 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 - Euclid's Elements - 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... | |
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