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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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...straight line, &c. QED PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight lines, if makes the alternate angles equal to one another; and...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 right...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...aliernate angles equal to one, another ; and tlie 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 rigM angles. LET the straight line ef fall upon the parallel straight lines ab, С d ; the alternate...
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The popular educator, Volum 4;Volum 7

Popular educator - 1852
...point without it. 6. If a straight line fall upon two parallel straight lines, show that it will make 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 equal to two...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall vpon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite vpon the same side; and likewise the two interior angles upon the same side together equal to two right...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...interior opposite angles. 4. Any two sides of a triangle are together greater than the third side. 5. 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 right...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...these shall be less than the other two aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to another; and the exterior angle equal to the interior and opposite upon the same side; and likewise...
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...equal. How will the two straight lines cut each other when all the four vertical angles are equal ? 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite angle on the same side, and likewise...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...line are parallel to each other. DEMONSTRATION. — P. 29. If a st. line fall upon two parallel st. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the.int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together...
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