| 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... | |
| 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, if a straight line, etc. QED PROPOSITION XXIX. THEOR. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one** anotker ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise... | |
| 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... | |
| Popular educator - 1852 - 1272 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... | |
| John Playfair - Geometry - 1855 - 334 pages
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall vpon **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** vpon the same side; and likewise the two interior angles upon the same side together equal to two right... | |
| Euclides - 1855 - 270 pages
...siraight line fall upon two parallel straight lines, if makes the alternate angles equal to one another; **the exterior angle equal to the interior and opposite angle upon the same side** of the straight line ; and the two interior angles upon the same side of it together equal to two right... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...interior opposite angles. 4. Any two sides of a triangle are together greater than the third side. 5. **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... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...these shall be less than the other two aides of the triangle, but shall contain a greater angle. 5. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to** another; and the exterior angle equal to the interior and opposite upon the same side; and likewise... | |
| War office - 1858 - 578 pages
...equal. How will the two straight lines cut each other when all the four vertical angles are equal ? 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to** each other, and the exterior angle equal to the interior and opposite angle on the same side, and likewise... | |
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