| Euclides - 1853 - 146 頁
...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... | |
| Royal Military Academy, Woolwich - 1853 - 400 頁
...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 - 176 頁
...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... | |
| Popular educator - 1852 - 1272 頁
...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 - 1855 - 334 頁
...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... | |
| Cambridge univ, exam. papers - 1856 - 252 頁
...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 頁
...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... | |
| 1858 - 398 頁
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
| Great Britain. Parliament. House of Commons - 1858 - 694 頁
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
| War office - 1858 - 578 頁
...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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