| Euclides - Geometry - 1841 - 378 pages
...alternate angles: therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. **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... | |
| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 866 pages
...right angles ; AB is parallel to CD. But the 29th proposition assumes the converse of this, namely, **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... | |
| Euclides - 1842 - 316 pages
...alternate angles; therefore AB is parallel to CD. Wherefore if a straight line, &c. QED PEOP. XXIX. THEOR. **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... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...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... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...in this manner be freed from all difficulty. PROP. III. or 29. 1. Euclid. If a straight line fall on **two parallel straight lines, it makes the alternate angles equal to one another** ; the exterior equal to the interior and opposite on the same side ; and likewise the two interior... | |
| Euclid - Geometry - 1845 - 218 pages
...fore AB is parallelf to CD. Wherefore, if a straight line, &c. Q. i:. D. PROPOSITION XXIX. THEOR — **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... | |
| Euclides - 1845 - 546 pages
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf **a straight line fall upon two parallel straight lines,...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... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...— < L AGH, which ABUCD^"- 8 ' t Wherefore, if a straight line, &c. PROP. XXVIIF. THEOR. 29. iKu. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle** on the same side ; and likewise the two interior angles upon the same side together equal to two riff... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...' / PHD— I Z. AGH, which are**-3Wherefore, if a straight line, &c. PROP. XXVIII. THEOR. 29. iEu. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle** on the same side ; and likewise the two interior angles upon the same side together equal to two right... | |
| Euclides - 1846 - 292 pages
...angles ; therefore AB is parallel to CD. Wherefore, If a straight line itc . QEU PROP. XXIX. THEOR. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite** upon the same side, and also the two interior angles upon the same side together equal to two right... | |
| |