 | Aristotle - 1866 - عدد الصفحات: 278
...result from various theses : for instance, parallels may be proved to meet both from the thesis that if a straight line fall upon two parallel straight lines it makes the exterior angle greater than the interior and opposite angle upon the same side10, and from the thesis... | |
 | 1867 - عدد الصفحات: 224
...the line and of the square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate...interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 7. In any right-angled... | |
 | Euclid, Isaac Todhunter - 1867 - عدد الصفحات: 426
...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 - 1867 - عدد الصفحات: 424
...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 - عدد الصفحات: 434
...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 - عدد الصفحات: 270
...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 - عدد الصفحات: 136
...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 - 1871 - عدد الصفحات: 178
...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 - 1872 - عدد الصفحات: 376
...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 - 1873 - عدد الصفحات: 588
...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... | |
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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... 
