 | 1835 - 684 pagine
...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... | |
 | 1836 - 488 pagine
...right angles ; the two straight lines are parallel to one another. XXIX. If a straight line fall upon two parallel straight lines, it makes the alternate...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... | |
 | Euclides - 1837 - 112 pagine
...and :. that AB |] CD. PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate...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.... | |
 | John Playfair - 1837 - 332 pagine
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...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 - 1837 - 290 pagine
...alternate angles ; therefore AB is parallel to CD. PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate...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 - 1838 - 264 pagine
...very ingenious and conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...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... | |
 | Euclides - 1841 - 378 pagine
...parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...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... | |
 | Euclides - 1842 - 316 pagine
...parallel to CD. Wherefore if a straight line, &c. QED PEOP. XXIX. THEOR. IF a straight line fall upon two parallel straight lines it makes the alternate...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... | |
 | William Chambers, Robert Chambers - 1842 - 938 pagine
...to CD. But the 29th proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight lines, it makes the alternate...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... | |
 | Chambers W. and R., ltd - 1842 - 744 pagine
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight hues, it makes the alternate angles equal to one another...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... 
