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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 examination papers as set for the preliminary literary examination of ... - Page 6
by Royal college of surgeons of England - 1860
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...triangle, 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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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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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...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...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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...
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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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...whole sum received would have been 25 shillings less than it was : what did he receive ? Euclid. 1. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the same side, and the two interior...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...and they are alternate angles ; therefore (I. 27) AB is parallel to CD. FHOPOSITION xxix, THEOREM. If a straight line fall upon two parallel straight...side ; and likewise the two interior angles upon the same side together equal to two right angles. Given the straight line EF falling upon the parallel...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...base of that which has the greater angle, shall be greater than the base of the other. 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...&c. QEI). PROPOSITION 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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