 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 39by 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... | |
 | Euclid, 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 - 588 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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