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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... "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page vii
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Report of the Secretary for Public Instruction ..., Volume 33

Queensland. Department of Public Instruction - Education - 1909 - 144 pages
...lines, then <) the alternate angles are equal, (6) the corresponding angles are equal, (<•) the interior angles on the same side of the cutting line are together equal to two right angles, 4. If two sides of a triangle nre unequ-l, tin- greater side has the greater angle opjxeite to it....
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...are cut by a third straight line, if the two interior angles on the same side of the secant line be together equal to two right angles, then the two straight lines are parallel. E / M JS/ -N •D Let EF cut the straight lines AB and CD in the points H and K, and let the Z BHK...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...are cut by а third straight line, if the two interior angles on the same side of the secant line be together equal to two right angles, then the two straight lines are parallel. E / M A '""• У- B N -D Let EF cut the straight lines AB and CD in the points H and K, and let the...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...Define parallel straight lines. If two snch straight lines are cut by a third straight line, the two interior angles on the same side of the cutting line are together equal to two right angles. 5. Equal triangles on the same side of the same base arebetween the same parallels. What is meant here...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 260 pages
...lines are cut l>ya third straight line, if the two interior angles on the same side of the transversal are together equal to two right angles, then the two straight lines are parallel. M" "A ^7 BN f Let EF cut the straight lines AB and CD in the points H and K, and let the ^SHK+ZHKD...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...make the exterior-interior angles equal, or (2) so as to make the two interior angles on the same side together equal to two right angles, then the two straight lines are parallel. xE (1) Hyp. Let the st. line EF cut G/ the two st. lines AB, CD at G and A H, so that Z EGB = Z GHD....
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...O PROPOSITION IX. THEOREM 41. When two straight lines are cut by a third straight line, if the two interior angles on the same side of the cutting line...angles, then the two straight lines are parallel. QM K'— Via 7 a'/b M' GIVEN — PQ cutting gl/and PN so that a and 6 on the same side of PQ are...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 564 pages
...Then JfFis parallel to CD. 41 [When two straight lines are cut by a third straight line, if the two interior angles on the same side of the cutting line are together equal to two right angles, the two straight lines are parallel.] But AB is parallel to CD. Hyp. Hence AB coincides with XY. Ax....
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...Then XY is parallel to CD. 41 [When two straight lines are cut by a third straight line, if the two interior angles on the same side of the cutting line are together equal to two right angles, the two straight lines are parallel.] But AB is parallel to CD. Hyp. Hence AB coincides with XY. Ax....
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Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 50 pages
...lines are cut by a third straight line, if the two interior angles on the same side of the transversal are together equal to two right angles, then the two straight lines are parallel. 111. Two straight lines which are parallel to a third straight line are parallel to each other. 112....
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