| John Playfair - Euclid's Elements - 1833 - 346 pages
...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 - Trigonometry - 1835 - 544 pages
...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... | |
| Mathematics - 1835 - 684 pages
...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... | |
| Mathematics - 1836 - 488 pages
...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 pages
...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 - 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 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... | |
| 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...makes the alternate angles equal to one another;"** therefore, the base AB, being constant, the angle of incidence and the hypothenuse СИ muet always... | |
| John Playfair - Euclid's Elements - 1846 - 334 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... | |
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