| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...are cut by a third straight line, if the two interior angles on the same side of the cutting line arc **together equal to two right angles, then the two straight lines are parallel.** QM < GIVEN — PQ cutting QM and PN so that a and b on the same side of PQ are together equal to two... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...parallel straight lines, (1) alternate angles are equal, (2) corresponding angles are equal, (3) the **interior angles on the same side of the cutting line are together equal to two right angles.** Data AB cuts the parallel st. lines CD, EF at G, H. To prove that (1) /. CGH = alt. L GHF, (2) L. AG... | |
| Joseph Battell - Force and energy - 1903 - 722 pages
...therefore the other lines must extend in opposite directions and be parallel. " Second, if the two **interior angles on the same side of the cutting line are together equal to two right angles** ; because the supplementary adjacent angle of either of the given angles is alternate to the other... | |
| Education - 1903 - 692 pages
...straight lines intersect, the vertically opposite angles ue qua). Parallel Straight Lines. — When **a straight line cuts two other straight lines, if (i.) a pair of alternate angles are equal,** or(ii.) a pair of corresponding angles are equal, or liii.) a pair of interior angles on the same side... | |
| University of Allahabad - 1907 - 528 pages
...two angles so formed is equal to two right angles ; and the converse. PARALLEL STRAIGHT LINES. When **a straight line cuts two other straight lines, if...right angles, then the two straight lines are parallel** ; and the converse. Straight lines which are parallel to the same straight line are parallel to one... | |
| University of New Zealand - 1907 - 422 pages
...area to a given polygon. SCHEDULE B. Angles at a Point. Parallel Straight Lines. When a straight liuc **cuts two other straight lines, if (i) a pair of alternate...angles, then the two straight lines are parallel;** and the converse. Straight lines which are parallel to the same straight line are parallel to one another.... | |
| University of Allahabad - 1908 - 568 pages
...two straight lines intersect, the vertically opposite angles are equal. PARALLEL STRAIGHT LINES. When **a straight line cuts two other straight lines, if...(ii) a pair of corresponding angles are equal, or** air a pair of interior angles on the same side of the cutting line are together equal to two right... | |
| Mathematics - 1909 - 605 pages
...two angles so formed is equal to two right angles; and the converse. Parallel Straight Lines. When я **straight line cuts two other straight lines, if (i)...angles, then the two straight lines are parallel;** and the converse. Straight lines which are parallel to the same straight line are parallel to one another.... | |
| University of Allahabad - 1909 - 638 pages
...two straight lines intersect, the vertically opposite angles are equal. PARALLEL STEAIGHT LINES. When **a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or** (it) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side... | |
| University of Allahabad - 1910 - 682 pages
...two straight lines intersect, the vertically opposite angles are equal. PARALLEL STRAIGHT LINES. When **a straight line cuts two other straight lines, if...are equal, or (ii) a pair of corresponding angles** a re equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal... | |
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