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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 - Side 37
av Great Britain. Admiralty - 1846
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Report of the Commissioner of Education Made to the Secretary of ..., Volum 1

United States. Bureau of Education - 1907
...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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Annual Report, Volum 1

United States. Office of Education - 1907
...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
...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 Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1908
...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 - 1908
...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 - 1908
...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 - 1910 - 302 sider
...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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Transactions of the Royal Society of New Zealand, Volum 19

1887
...part of Euclid I.. 29 : — " If a straight line fall upon two parallel straight lines, it shall make the exterior angle equal to the interior and opposite angle on the same side." This is an immediate consequence, hardly more than a re-statement, of the concept of parnlle straight...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 512 sider
...parallel to one another. (Corollary 21.6) 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, the straight lines will be parallel...
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Geometry: A Comprehensive Course

Daniel Pedoe - 1988 - 449 sider
...straight lines will be parallel to one another. 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, the straight lines will be parallel...
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