| Euclides - 1848 - 52 pages
...be parallel to one another. PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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...exterior angle equal to the interior and opposite** upon the same side; and likewise the two interior angles upon the same side together egual to two right... | |
| Education - 1851 - 502 pages
...other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie **the two interior angles upon the same side together equal to two** right angles. 2. In a right-angled triangle, if a perpendicular be drawn from the right angle to the... | |
| Euclides - 1852 - 152 pages
...AB is parallel to CD. BOOK I. PEOP. XXIX. THEOR. If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...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 - 1852 - 48 pages
...therefore AB and c D are parallel. WWD PBOP. XXIX. TKEOE. If a right line fall upon two parallel right **lines, it makes the alternate angles equal to one...another, and the exterior angle equal to the interior** opposite angle at the same side ; and also the ttoo interior angles at the same side, equal to two... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...the alternate angles equal to one anotker ; 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 equal to two** right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate... | |
| Euclides - Geometry - 1853 - 176 pages
...aliernate angles equal to one, another ; and tlie 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** rigM angles. LET the straight line ef fall upon the parallel straight lines ab, С d ; the alternate... | |
| Euclides - 1853 - 146 pages
...straight line, &c. QED PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight lines, if **makes the alternate angles equal to one another; and...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... | |
| Insurance - 1853 - 394 pages
...to 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. 30. Draw through a given point between two straight lines not parallel a straight line... | |
| Popular educator - 1854 - 1274 pages
...point without it. 6. If a straight line fall upon two parallel straight lines, show that it will make **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 equal to two... | |
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