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 - 488 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 - 290 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 - Geometry - 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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