 | John Mason Good - 1819 - 800 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 - 1046 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 - 546 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 - 346 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 - 544 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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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; and likewise the two interior angles upon the same side together... 
