| William Nicholson - Natural history - 1809 - 684 pages
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. **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 augle on the same side ;... | |
| William Nicholson - 1809 - 716 pages
...straight line may be drawn parallel to that straight line, or that straight lice produced. M. Theorem IV. **If a straight line fall upon two parallel straight lines, it makes the alternate** angle« equal to one another ; and the exterior angle equal to the interior and opposite angle on the... | |
| John Mason Good - 1813 - 714 pages
...equal to two right angles; the two straight lines shall be parallel to one another. 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... | |
| John Playfair - Circle-squaring - 1819 - 350 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 alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and... | |
| William Nicholson - Natural history - 1821 - 406 pages
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. **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 ;... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 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 alternate angles equal** to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...therefore AB is parallel to С D. Wherefore if a straight line, &c. OKD Proposition ХХГХ. 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... | |
| 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... | |
| 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 lines, it makes the alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite angle upon the same side... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'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... | |
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