 | Mathematics - 1898 - 897 pages
...lines are parallel, and in L 28 he proves that, if a straight line falling on two straight lines makes the interior angles on the same side equal to two right angles, the two straight lines are parallel; lastly in I. 31 he draws, through a given point A, a parallel to a given... | |
 | 1899 - 690 pages
...lines are parallel, and in I. 28 he proves that, if a straight line falling on two straight lines makes the interior angles on the same side equal to two right angles, the two straight lines are parallel; lastly in L 31 he draws, through a given point A, a parallel to a given... | |
 | Mathematics - 1899 - 1296 pages
...lines are parallel, and in I. 28 he proves that, if a straight line falling on two straight lines makes the interior angles on the same side equal to two right angles, the two straight lines are parallel; lastly in I. 31 he draws, through a given point A, a parallel to a given... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...interior angles equal. 2. The alternate exterior angles equal. 3. The corresponding angles equal. 4. The sum of the interior angles on the same side equal to two RA's. 5. The sum of the exterior angles on the same side equal to two RA's. 6. The sum of the alternate... | |
 | 1901 - 488 pages
...intersecting two right lines makes the exterior angle equal to its corresponding interior angle, or makes two interior angles on the same side equal to two right angles, the two right lines aro parallel. Prove. 4. Write out the three postulates, and the twelfth axiom, namely,... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...interior angles equal. 2. The alternate exterior angles equal. 3. The corresponding angles equal. 4. The sum of the interior angles on the same side equal to two RA's. 5. The sum of the exterior angles on the same side equal to two RA's. 6. The sum of the alternate... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...27). The argument to prove i. 29 is as follows. The straight line which cuts the parallels must make the sum of the interior angles on the same side equal to, greater than, or less than, two right angles. A £ B "Let AB, CD be parallel, and let FG meet / them.... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...exterior angle equal to the interior opposite angle on the same side of the cutting line, or (iii) the interior angles on the same side equal to two right angles ; then in each ease the two straight lines are parallel. 36 THEpREM 14. [Euc. I. 29.] If a straight... | |
 | George William Myers - Mathematics - 1909 - 394 pages
...transversal, the corresponding angles are equal. 14. Prove that if two lines are cut by a transversal making the sum of the interior angles on the same side equal to two right angles, the corresponding angles are equal. In Fig. 160 let d+e=18o. Then d+a = 18o. Therefore a=e. 15. Prove that... | |
| |
A straight line falling on parallel straight lines makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle, and the interior angles on the same side equal to two right angles... 
