| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...ftraight line, &c. Q^ ED PROP. XXIX. THE OR. See N. TF a ftraight line fall upon two parallel ftraight J. **lines, it makes the alternate angles equal to one...; and the exterior angle equal to the interior and** oppofite upon the fame fide ; and likewife the two interior angles upon the fame fide together equal... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...line, &c. Q^ED PROP. XXIX. THEOR. IF a ftraight line falls upon two parallel ftraight lines, VT Scc the **it makes the alternate angles equal to one another...;. and the exterior angle equal to the interior and** oppofite fltion upon the fame fide; and likewife the two interior angles upon the fame fide together... | |
| 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...exterior angle equal to the interior and opposite** augle on the same side ; and likewise, the two interior angles upon the same side, together, equal... | |
| William Nicholson - 1809 - 708 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 - 1819 - 740 pages
...equal to two rirhc angles ; the two straight lines shall be parallefto one another. Prop. XXIX. Theor. **If a straight line fall upon two parallel straight...angle equal to the interior and opposite upon the** »ame side : and likewise the two interior angles upon the same side together equal to two right angles.... | |
| John Playfair - 1819 - 354 pages
...would in this manner be freed from all difficulty. PROP. III. 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 * Prop. 1 1. Sup. The reference to this proposition involves nothing... | |
| 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...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... | |
| John Radford Young - Euclid's Elements - 1827 - 228 pages
...a point between G and K, therefore, &c. PROPOSITION n. ,(29. I. Euclid.) If a straight line fall on **two parallel straight lines it makes, the alternate angles equal to one another** ; the exterior eqttal to the interior and opposite on the same side ; and likewise the two interior... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...those two straight lines are parallel • . • cor. 13 (f) 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... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...interior angles &c. Which was to be demonstrated. PROPOSITION XXIX. THEOREM. — If a straight line falls **upon two parallel straight lines, it makes the alternate angles equal to one another.** Let the straight line EF fall upon the •? parallel straight lines AB, CD ; the alter- ^ - ^& - B... | |
| |