 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...other, tht. vertical angles must be equal. THEOREM V. If a straight line intersects two parallel lines, the sum of the two interior angles on the same side of the intersecting line is equal to two right angles. [NOTE. — By interior angles, we mean angles which... | |
 | Theophilus Parsons - History - 1861 - 500 pages
...angles are equal, the exterior angle and the interior opposite angle on the same side are equal, and that the sum of the two interior angles on the same side is equal to two right angles. I will now demonstrate that, when the two alternate angles are equal,... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...alternate angles. 2nd. Of the exterior alternate angles. 3rd. Of the corresponding angles. 7. Prove that the sum of the two interior angles on the same side of the transversal is equal to two right-angles. 8. Prove that two angles are equal when their sides are parallel... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...alternate angles. 2nd. Of the exterior alternate angles. 3rd. Of the corresponding angles. 7. Prove that the sum of the two interior angles on the same side of the transversal is equal to two right-angles. 8. Prove that two angles are equal when their sides are parallel... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...are equal, the two lines are parallel. z 56. Corollary II. If the sum of the two interior angles DD the same side of the secant line is equal to two right angles, ;he two lines are parallel. 57. Corollary III. From (52) and (56) it follows that, when two straight... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...III. From (52) and (56) it follows that, when two straight lines are cut by a third, if the sum of two interior angles on the same side of the secant line is not two right angles, the two straight lines are not parallel ; and it is evident that they will meet,... | |
 | André Darré - 1872 - 226 pages
...equal straight lines can be drawn to the circumference. 5. When a secant meets two straight lines, if the sum of the two interior angles on the same side of the secant is equal to two right angles, the lines are parallel. 6. To draw a line from a given point outside... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...propositions and their corollaries are the conterss of each other; ie, the hypothèses or data and the conclusions or things proved are exchanged. Thus, in PROP. III., the hypothesis is, that T71e sum of the t1ro interior angles on the name tide of the secant Une is equal to tuo right anglee... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...angles are equal, the two lines are parallel. 56. Corollary II. If the sum of the two interior angles Dn the same side of the secant line is equal to two right angles, the two lines are parallel. 57. Corollary III. From (52) and (56) it follows that, when two straight... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...III. From (52) and (56) it follows that, when two straight lines are cut by a third, if the sum of two interior angles on the same side of the secant line is not two right angles, the two straight lines are not parallel ; and it is evident that they will meet,... | |
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Dn the same side of the secant line is equal to two right angles, the two lines are parallel. 
