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, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...line &c. QED PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines, make **the exterior angle equal to the interior and opposite angle on the same side** of the line, or make the interior angles on the same side together equal to two right angles, the two... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...line &c. QED PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines, make **the exterior angle equal to the interior and opposite angle on the same side** of the line, or make the interior angles on the same side together equal to two right angles, the two... | |
| Robert Potts - 1868 - 434 pages
...therefore the remaining angle AGH is equal to the remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. **If a straight line fall upon two parallel straight...equal to one another ; and the exterior angle equal to** t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same... | |
| Euclides - 1870 - 270 pages
...same st. line are parallel to each other. DEM. — P. 29. If a st. line fall upon two parallel st. **lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the** int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together... | |
| Euclides - 1871 - 136 pages
...are not parallel. It is also cle ir that they meet towards B, D, because GB lies between GN and ///>. **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... | |
| Alfred Challice Johnson - Spherical trigonometry - 1871 - 178 pages
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. **If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another.** (Eue. I., 29.) 6. If a side of a triangle be produced, the exterior angle is equal to the two interior... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...clear that they meet towards B, D, because GB lies between GN and HD. <j. RD 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 up in t/ie tame side together equal to two... | |
| Henry Major - Student teachers - 1873 - 592 pages
...the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD. XXIX. — **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... | |
| Lewis Sergeant - 1873 - 182 pages
...Proposition 28. — Theorem. If a straight line fall on two parallel straight lines, it makes — (1.) **The exterior angle equal to the interior and opposite angle on the same side** of the line ; (2.) The alternate angles equal ; and (3.) The two interior angles on the same side of... | |
| Euclides - 1874 - 342 pages
...3. AB is parallel to CD (I. 27). Wherefore, if a straight line, &c. QED PROPOSITION 29. — 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... | |
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