 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...  The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
 | 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... | |
 | Mathematics - 1835 - 684 pages
...angles, those two straight lines are parallel . . . cor. 13 (e) And conversely, if a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite upon the same side, and the two interior angles... | |
 | Mathematics - 1836 - 472 pages
...side together equal to two right angles ; the two straight lines are parallel to one another. XXIX. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines,...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... | |
 | John Playfair - Geometry - 1837 - 332 pages
...straight lines are perpendicular to a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 240 pages
...angle GHD ; and they are alternate angles ; therefore AB is parallel to CD. PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight...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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...AGH = alternate Z GHD, 3. and :. that AB |] CD. PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall upon two parallel straight...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.... | |
 | Euclides - 1838 - 264 pages
...geometrical, are nevertheless very ingenious and conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...angles : therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight...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... | |
 | Euclides - 1841 - 378 pages
...alternate angles: therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...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... | |
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