| John Playfair - 1795 - 400 頁
...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 - 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... | |
| Euclid, Robert Simson - 1806 - 518 頁
...one ano- ™£*™ ther ; and the exterior angle equal to the interior and position. opposite upon **the same side ; and likewise the two interior angles...the same side together equal to two right angles.** Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles, AGH,... | |
| William Nicholson - 1809
...line, a 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 - 1810 - 518 頁
...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, Olinthus Gilbert Gregory - 1813
...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... | |
| Euclides - 1816 - 528 頁
...angles equal to one ih another; and the exterior angle equal to the inte-sit10"' rior and opposite upon **the same side ; and likewise the two interior angles...the same side together equal to two right angles.** „ ' . Let the straight line EF fell upon the parallel straight lines AB, CD ; the alternate angles... | |
| John Playfair - 1819 - 333 頁
...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, Olinthus Gilbert Gregory - 1819
...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 頁
...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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