 | Euclides - 1834 - عدد الصفحات: 518
...is parallel t to CD. Wherefore, if a straight line, &c. v- ''• D. PROPOSITION XXIX. THEOR. — If a straight line fall upon two parallel straight lines,...and opposite upon the same side ; and likewise the Iwo interior angles upon the same side together equal to two right angles. .'. it. CD : the alternate... | |
 | Robert Simson - 1835 - عدد الصفحات: 544
...therefore AB is parallel to CD. Wherefore, " if a straight line," &c. QED PROP. XXIX. THEOR. Sec the If a straight line fall upon two parallel straight ""„....; and the exterior angle equal to the interior and opi>osite upon the same side ; and likewise the two interior angles upon the same side together equal... | |
 | 1835 - عدد الصفحات: 684
...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... | |
 | Euclid - 1835 - عدد الصفحات: 540
...line," &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the fine ; or makes the interior angles upon the same side together equal to two right angles ;... | |
 | 1836 - عدد الصفحات: 488
...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 lines,...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... | |
 | Euclides - 1837 - عدد الصفحات: 112
...AGH = alternate Z GHD, 3. and :. that AB |] CD. PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall upon two parallel straight lines,...the interior and opposite upon the same side; and the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration.... | |
 | Euclid, James Thomson - 1837 - عدد الصفحات: 410
...one another ; (2.) the exterior angle equal to the interior and remote upon the same side ; and (3.) the two interior angles upon the same side together equal to two right angles, t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1.) the alternate angles... | |
 | Andrew Bell - 1837 - عدد الصفحات: 290
...to CD. PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line, or makes the interior angles upon the same side together equal to two right angles, the... | |
 | John Playfair - 1837 - عدد الصفحات: 332
...parallel to CD. PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ;... | |
 | Euclides - 1838 - عدد الصفحات: 264
...geometrical, are nevertheless very ingenious and conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines,...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 right angles.... | |
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Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
