| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842
...parallel to CD. But the 29th proposition assumes the converse of this, namely, if a straight line fall **upon two parallel straight lines, it makes the alternate...the same side together equal to two right angles.** Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses... | |
| Chambers W. and R., ltd - 1842
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight hues, **it makes the alternate angles equal to one another...the same side together equal to two right angles.** Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses;... | |
| John Playfair - Euclid's Elements - 1842 - 317 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... | |
| Education - 1844
...vertical angles shall be equal. 4. If a straight line, falling upon two other straight lines, make **the exterior angle equal to the interior and opposite upon the same side** of the line, or make the interior angles on the same side together equal to two right angles, the two... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...one another ; (2) the exterior angle equal to the interior and remote upon the same side ; and (3) **the two interior angles upon the same side together equal to two right angles,** t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1) the alternate angles... | |
| Euclid - Geometry - 1845 - 199 pages
...QED PROPOSITION XXVIII. THEOB. — If a straight line, falling upon two other straight lines, makes **the exterior angle equal to the interior and opposite upon the same side** of the line ; or makes the interior angles upon the same side together equal to two right angles; the... | |
| Euclides - 1845
...&c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, makes **the exterior angle equal to the interior and opposite upon the same side** of the line ; or makes the interior angles upon the same side together equal to iwo right angles ;... | |
| Euclides - 1846
...parallel to CD. Wherefore, If a straight line itc . QEU PROP. XXIX. THEOR. If a straight line fall **upon two parallel straight lines, it makes the alternate...the interior and opposite upon the same side, and** also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
| Great Britain. Admiralty - Geometry - 1846
...ABUCD^"- 8 ' t Wherefore, if a straight line, &c. PROP. XXVIIF. THEOR. 29. iKu. If a straight line fall **upon two parallel straight lines, it makes the alternate...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
...which are**-3Wherefore, if a straight line, &c. PROP. XXVIII. THEOR. 29. iEu. If a straight line fall **upon two parallel straight lines, it makes the alternate...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... | |
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