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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... "
The Elements of Geometry, Symbolically Arranged - Page 37
by Great Britain. Admiralty - 1846
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Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

United States. Bureau of Education - Education - 1907 - 722 pages
...cither of (he interior opposite angles. 4. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two...
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Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

United States. Bureau of Education - Education - 1907 - 732 pages
...either of the interior opposite angles. 4. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two...
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Report of the Federal Security Agency: Office of Education, Volume 1

United States. Office of Education - Education - 1907 - 720 pages
...either of the interior opposite angles. 4. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1908 - 574 pages
...most important of these propositions in its practical bearing is : — " If a straight line fall on two parallel straight lines it makes the alternate...interior and opposite angle on the same side, and also the two interior angles on the same side together equal to two right angles." Thus in Fig. 22,...
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1908 - 556 pages
...propositions in its practical bearing is: — "If a straight line fall on two parallel straight lines P " it makes the alternate angles equal to one another,...interior and opposite angle on the same side, and also the two interior angles on the same side together equal to two right angles." Thus in Fig. 22,...
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Introduction and books 1,2

Euclid - Mathematics, Greek - 1908 - 550 pages
...logically that All not-.5 is not-4. PROPOSITION 28. If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, ihe straight lines will be parallel...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...parallel . . . (Euc. I. 27) 88 P.2. — If a straight line, meeting two oiher straight lines, makes an exterior angle equal to the interior and opposite angle on the same side of the line ; or if it makes the two interior angles on the same side together equal to two right angles...
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - Geometry - 1910 - 316 pages
...converse propositions. THEOREM 9 If a transversal cuts two parallel straight lines, it makes (i) an exterior angle equal to the interior and opposite angle on the same side of the transversal, and (2) the interior angles on the same side of the transversal supplementary....
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...straight line meet two parallel straight lines, it makes (1) alternate angles equal to one another, (2) the exterior angle equal to the interior and opposite angle on the same side, (3) the two interior angles on the same side together equal to two right angles. 29 — I. 7 4. The...
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Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...are required. Values. 8 1. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle on the same side; and also the two interior angles on the same side together equal to...
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