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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... "
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 314
1858
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...therefore AB and c D are parallel. WWD PBOP. XXIX. TKEOE. If a right line fall upon two parallel right lines, it makes the alternate angles equal to one...another, and the exterior angle equal to the interior opposite angle at the same side ; and also the ttoo interior angles at the same side, equal to two...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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, ะก d ; the alternate...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, if a straight line, etc. QED PROPOSITION XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 popular educator, Volume 4; Volume 7

Popular educator - 1852 - 1272 pages
...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 - Geometry - 1855 - 334 pages
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...siraight line fall upon two parallel straight lines, if makes the alternate angles equal to one another; the exterior angle equal to the interior and opposite angle upon the same side of the straight line ; and the two interior angles upon the same side of it 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 - 252 pages
...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 - 200 pages
...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...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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