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 the two interior angles upon the same side together... The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| John Playfair - Euclid's Elements - 1795 - 444 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
...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... | |
| Euclid - Geometry - 1810 - 518 pages
...equal to one ano- "huprop ther; and the exterior angle equal to the interior andsitioiv opposite upon **the same side; and likewise the two interior angles upon the same side together equal to** two/right angles. V Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate... | |
| John Mason Good - 1813 - 722 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...exterior angle equal to the interior and opposite** upon the same side; and likewise the two interior angles upon the same side together equal to two right... | |
| William Nicholson - Natural history - 1821 - 402 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...the same side, together, equal to two right angles** If AB (fig. 5.) be parallel to CD, and E Fcut them in the points HG, then the angle AHG equals the... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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...exterior angle equal to the interior and opposite** upon the same side ; and likewise the to'o interior angles upon the same side together equal to two... | |
| John Mason Good - 1819 - 740 pages
...angles equal to one another; and the exterior 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.** Prop. XXX. Theor. Straight lines which are parallel to ihc same straight line, are parallel to one... | |
| John Playfair - 1819 - 317 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... | |
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