 | George Albert Wentworth - Geometry - 1877 - 416 pages
...PHOPOSITION XVI. THEOREM. 74. CONVERSELY : When two straight lines are cut by a third straight line, if the two interior angles on the same side of the secant line be together equal to two right angles, then the two straight lines are parallel. E / M JS/ -N •D... | |
 | Edward Olney - Geometry - 1879 - 502 pages
...data and the conclusions or things proved are exchanged. Thus, in PROP. III., the hypothesis is, that The sum of the two interior angles on the same side of the secant line is equal to two right angles ; and the conclusion is, that The two lines are parallel. Now, in PROP. IV., the hypothesis is, that... | |
 | George Albert Wentworth - 1881 - 266 pages
...PROPOSITION XVI. THEOREM. 74. CONVERSELY : When two straight lines are cut by а third straight line, if the two interior angles on the same side of the secant line be together equal to two right angles, then the two straight lines are parallel. E / M A '""• У-... | |
 | Edward Olney - Geometry - 1882 - 262 pages
...data and the conclusions or things proved are exchanged. Thus, in PROP. III., the hypothesis is, that The sum of the two interior angles on the same side of the secant line in equal to two right angles ; and the conclusion is, that The two lines are parallel. Now, in PROP.... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...— I. If the corresponding angles are equal; II. If the alternate interior angles are equal; III. If the sum of the two interior angles on the same side of the secant equals two right angles. Let the straight lines AB and CD be cut by EF. E л OÁ d/c -В -D /P L To... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...THEOREM. 73. If two parallel lines be cut by a third straight line, fhe sum of the two interior angle« on the same side of the secant line is equal to two right angles. B Let AB and CD be two parallel lines cut by the straight line EF in the points H and K. We are to... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...same side ; and also the two interior angles on the same side together equal to two right angles. 2. If two parallel lines are cut by a third straight line, the alternate interior angles are equal. Cor. I. The alternate-exterior angles are also equal to each other.... | |
 | New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...of the intersecting line is equal to two right angles. If a line intersects two other lines, making the sum of the two interior angles on the same side of the intersecting line equal to two right angles, the two straight lines are parallel. The opposite... | |
 | William Chauvenet - Geometry - 1887 - 336 pages
...parallel. PROPOSITION XXV. If two parallel lines are cut by a third straight line, the alternateinterior angles are equal. Corollary I. If two parallel lines...side of the secant line is equal to two right angles. PROPOSITION XXVI. The sum of the three angles of any triangle is equal to two right angles. Corollary.... | |
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If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles. 
