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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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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...PROPOSITION 29. THEOREM. 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 equal to two right...
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The School World, Volum 3

1901
...(2) If a straight line falls across two parallel straight lines it makes the alternate angles equal, the exterior angle equal to the interior and opposite angle on the same side of the line, and the two interior angles on the same side of the line together equal to two right angles,...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...duplicate ratio occurs, and give a numerical illustration. 2. Prove that if a straight line falls on two parallel straight lines it makes the alternate angles equal to one another. 3. To a given straight line, apply a parallelogram equal to a given triangle and having one of its...
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The School World: A Monthly Magazine of Educational Work and Progress, Volum 4

1902
...lines. Will any straight lines do ? If not, in what way is the choice of straight lines limited ? 15) If a straight line fall upon two parallel straight lines, it makes the two interior angles on the same side together equal to two right angles, and also the alternate angles...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then ic 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 equal to two right...
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Annual Report of the Commissioners ..., Volum 71

1905
...2. If two angles of a triangle be unequal the greater angle has the greater side opposite to it. 3. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1906
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. 4. The three interior angles of any triangle in marking out work, and the methods of иге together...
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Science Examinations ... Reports, Etc

1906
...State the axiom on which your proof of the following theorem depends : — If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another. Give the proof of the theorem. In the quadrilateral A BCD the sides AH and CD are parallel and AB is...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. H 113 Anс THE ENCYCLOPEDIA OF 4. The three interior angles of any triangle in marking out work, and...
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Report of the Commissioner of Education Made to the Secretary of ..., Volum 1

United States. Bureau of Education - 1907
...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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