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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 22
by Euclides - 1834
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...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 to two right angles. Let the straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...to CD. Wherefore, if a straight line, &c. QEO PROPOSITION XXVIIL THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior auji opposite upon the same tide of the line ; or make the interior angles upon the tame side together...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...line fall upon two parallel straight Hues, 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 npon the same side together equal to two right angles. 3. Equal...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876
...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 equal to two right angles. AB is...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...(c). " When a straight line, falling across two other straight lines, makes the two interior angles on the same side together equal to two right angles, the two straight lines are parallel." And conversely — (of). " When a straight line falls across two parallel straight lines...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same tide. z T Let the st. line EF fall on the parallel st. lines AB, CD. Then must I. / s BGH, GHD together=two...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...upon two other straight lines make tlie exterior angle equal to the interior and opposite upon thr, same side of the line, or make the interior angles...the same side together equal to two right angles, tlie two Straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 349 pages
...26. PROPOSITION' XXVIII. THEOREM. If a straight line, falling upon two other straight lines, makt, the exterior angle equal to the interior and opposite...equal to two right angles; the two straight lines are parallel to one another. Let the st. line EF, falling on st. lines AB, CD, make I. L EGB = corresponding...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...parallel to the base or perpendicular to it. PROPOSITION XXVIII. THEOREM. If a straight line falling on two other straight lines •make the exterior angle equal to the interior and opposite on the same side of the line; or make the interior angles on fhe same side together equal to two right...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...and the exterior angle equal to the interior and opposite angle upon the same side, and also the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB,CD. Then, the alternate angles AGH,...
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