 | John Playfair - 1833 - 346 pagina’s
...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 lines, it makes the alter' male angles equal to one another ; and the exterior angle equal to the interior and opposite... | |
 | Robert Simson - 1835 - 544 pagina’s
...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 - 684 pagina’s
...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... | |
 | 1836 - 488 pagina’s
...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...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 - 1838 - 264 pagina’s
...geometrical, are nevertheless very ingenious and conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...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.... | |
 | John Playfair - 1842 - 332 pagina’s
...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... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...' / 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... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...— < 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... | |
 | Perry Fairfax Nursey - 1846 - 650 pagina’s
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...makes the alternate angles equal to one another;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse СИ muet always... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...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... | |
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If a straight line fall on 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; and also the two interior angles on the same side together equal... 
