 | 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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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 (iii) a pair of interior angles on the same side of the cutting line are together equal to two right... 
