| 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, it makes the alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and... | |
| 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 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 also... | |
| 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 lines, it makes the alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite angle on the same side ;... | |
| 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 lines, it makes the alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite angle on the same side ;... | |
| Perry Fairfax Nursey - Industrial arts - 1846 - 650 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) **if a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...straight lines are perpendicular to 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 angles equal** to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and... | |
| 1846 - 648 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) **if a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse... | |
| Euclides - 1847 - 128 pages
...is || to CD. (Prop. XXVII.) Wherefore, if a st. line, &c.— QED PROP. XXIX. THEOR. GEN. ENUN. — **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another; and the exterior equal to the interior and opposite angle upon the same side ; and... | |
| Euclides - 1848 - 52 pages
...to two right angles ; the two straight lines shall be parallel to one another. PROP. XXIX. THEOREM. **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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel to CD (i.27.). Wherefore if a straight line, &c. QED PROP. XXIX. THEOR. **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... | |
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