 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...  Calendar - Page 162by University of Allahabad - 1908Full view - About this book
 | 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... | |
 | Education - 1903 - 692 pages
...converse. 1> two 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... | |
 | 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... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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... | |
 | University of New Zealand - 1905 - 378 pages
...converse. If two straight lines intersect, the vertically opposite angles are equal. Parallel Straight Lines. When a straight line cuts two other straight...two straight lines are parallel ; and the converse. If two triangles have two angles of the one equal to two angles of the other, each to each, and also... | |
 | University of Allahabad - 1909 - 638 pages
...converse. If 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
...converse. If two straight lines intersect, the vertically opposite angles are equal. PARALLEL STRAIGHT LINES. When a straight line cuts two other straight...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... | |
 | University of Allahabad - 1911 - 726 pages
...opposite angles are equal. PARALLEL STRAIGHT LINES. When a straight line cuts two other straight tines, if (i) a pair of alternate angles are equal, or (ii)...are equal, or (iii) a pair of interior angles on the sane side of the cutting line are together equal to two right angles, then the two straight lines are... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...two straight lines intersect, the vertically opposite angles are equal. Parallel Straight Lines. 3. When a straight line cuts two other straight lines,...two straight lines are parallel ; and the converse. 4. Straight lines which are parallel to the same straight line are parallel to one another. Triangles... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...two straight lines intersect, the vertically opposite angles are equal. Parallel Straight Lines. 3. "When a straight line cuts two other straight lines,...two straight lines are parallel ; and the converse. 4. Straight lines which are parallel to the same straight line are parallel to one another. Triangles... | |
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