| John Mason Good - 1819 - 740 pages
...angles equal to one another; and the exterior angle equal to the interior and opposite upon the »ame **side : and likewise the two interior angles upon the same side together equal to two** right angles. Prop. XXX. Theor. Straight lines which are parallel to ihc same straight line, are parallel... | |
| William Nicholson - Natural history - 1821 - 406 pages
...or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle** on the same side ; and likewise the two interior angles upon the same side, together, equal to two... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...Wherefore,' if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...straight line, &c. OKD Proposition ХХГХ. Theorem, If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...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... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 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 to two** right angles.' Let the straight line EF fall upon the parallel straight lines ABi CD; the alternate... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...1 Ax. f2 Ax. * 13. 1. t 1 Ax. PROP. XXIX. THEOR. If a straight line Jail upon two parallel straight **lines, it makes the alternate angles equal to one...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... | |
| 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... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alter' male **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... | |
| Euclid - 1835 - 540 pages
...&c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- **lines, it makes the alternate angles equal to one...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... | |
| Robert Simson - Trigonometry - 1835 - 513 pages
...line," &c. QED PROP. XXIX. THEOR. Sec the If a straight line fall upon two parallel straight ""„. **lines, it makes the alternate angles equal to one...; and the exterior angle equal to the interior and** opi>osite upon the same side ; and likewise the two interior angles upon the same side together equal... | |
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