| Euclides - 1845 - 546 Seiten
...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 Seiten
...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 - 1846 - 128 Seiten
...' / 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 - 1846 - 128 Seiten
...— < 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 - 1846 - 650 Seiten
...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 - 1846 - 334 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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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