 | Alva Walker Stamper - Geometry - 1906 - 188 pages
...non-euclidean geometries. It is, " If two straight lines are cut by a third straight line so as to make the sum of the interior angles on the same side of the transversal less than two right angles, then these two lines, if produced, will meet on that side."... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...ZBGH=ZDHF, then, AB\\CD. 80. (Converse of § 77.) If two straight lines are cut by a transversal, and the sum of the interior angles on the same side of the transversal is equal to two right angles, the two lines are parallel. Suppose Z BGH + Z c = two rt.... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...alternate-interior angles are equal (§ 78). When the corresponding angles are equal (§ 79). When the sum of the interior angles on the same side of the transversal is equal to two right angles (§ 80). When they are opposite sides of a parallelogram.... | |
 | Alva Walker Stamper - Geometry - 1909 - 214 pages
...non-euclidean geometries. It is, " If two straight lines are cut by a third straight line so as to make the sum of the interior angles on the same side of the transversal less than two right angles, then these two lines, if produced, will meet on that side."... | |
 | George William Myers - Mathematics - 1909 - 394 pages
...transversal, (1) the corresponding angles are equal; (2) the alternate-interior angles are equal; (3) the sum of the interior angles on the same side of the transversal is two right angles. 5. A parallelogram is a quadrilateral whose opposite sides are parallel.... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 202 pages
...must give authority (the why) for each step you take. 2. If two parallels are cut by a transversal, the sum of the interior angles on the same side of the transversal is equal to two right angles. 3. If two parallels are cut by a transversal, the alternateexterior... | |
 | Wisconsin Teachers' Association - Education - 1914 - 266 pages
...in the same plane, if the alternate interior angles are equal, if the ext.-int. angles are equal, if the sum of the interior angles on the same side of the transversal is equal to two right angles, or if they are the opposite sides of a parallelogram. He... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...are not parallel. Suggestion. — Review § 94. Ex. 193. If two lines are cut by a transversal and the sum of the interior angles on the same side of the transversal is not equal to two right angles, the lines are not parallel. Ex. 194. If a point is unequally... | |
 | Mathematics - 1915 - 830 pages
...famous proposition which has been rendered into English as follows: "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."... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...cut by a transversal (a) the alternate angles are equal, (b) the corresponding angles are equal, (c) the sum of the interior angles on the same side of the transversal is a straight angle, and (d) the sum of the exterior angles on the same side of the transversal... | |
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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. 
