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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 also the two interior angles upon the same side together equal... "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...
by Stewart W. and co - 1884
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...line, &c. QED PROP. XXVIII. THEOREM. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same side of the line; or make the interior angles upon the same side together equal to two right angles; the...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...PROPOSITION XXVIII. — THEOREM. If a. straight line failing upon two otJier straigJit lines makes the exterior angle equal to the, interior and opposite upon the same side of the line, or makes the interior angles upon the same side together equal to two right angles ; the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...etc. QED PROPOSITION XXVIII. THEOR. If a straight line, falling upon two other straight lines, makes the exterior angle equal to the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles ; the...
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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...the same side together equal to two right angles. Discuss Euclid's twelfth axiom. Is it necessary that some positive property of parallel lines should...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...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 angles equal...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 - 200 pages
...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...the same side together equal to two right angles. 6. Parallelograms upon the same base, and between the same parallels, are equal to one another. 7....
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...triangle, but shall contain a greater angle. •1. If a right line falling upon two other right lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles; the...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal...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...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal...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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...cent. 8. Extract the square root of -05368489. Euclid. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal...exterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior angles upon thç same side together equal to...
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