 | V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...cut by a transversal then 1 . the alternate angles are equal 2. the corresponding angles are equal 3. the sum of the interior angles on the same side of the transversal is equal to 180°. Fig. 35 K _. HA/5 Fig. 36 Proof In Fig. 36, AB II CD and the transversal... | |
 | Education - 1857 - 608 pages
...putting y' for z, of the same form as the 10th lolved sbow. D THEOREM 1. — If tiro straight line* meet a third line, making the sum of the interior angles, on the tame tide of the line met, equal to tiro right anylet, the ttro Una v>iU be parallel. For the proof,... | |
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If two lines are cut by a third, and the sum of the interior angles on the same side of the cutting line is less than two right angles, the lines will meet on that side when sufficiently produced. 
