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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... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 26
by Robert Simson - 1827 - 513 pages
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...&c. QED Proposition 28. — Theorem. Tf a straight line falling upon (wo 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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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876
...triangle. NOTE. — The angles GAK, AKB, are called alternate angles, and when a straight line falls upon two parallel straight lines, it makes the alternate angles equal to each other (Euc. I. 29). Problem 25. To construct a triangle, having its base AB, its altitude CD,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...It-XTX, THEOREM. , If a straight line fall upon two parallel straight lines, it makei the alter' nate angles equal to one another ; and the exterior angle equal to the interiorand opposite upon the same side ; and likewise the two interior angles upon ihe same tide together...
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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, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 443 pages
...exterior angle equal to the interior and remote on the same side ; and the two interior an-- gles on the same side together equal to two right angles. Let the straight line EF intersect the yE two parallel lines AB, CD; the alternate \ .1, angles AGH, GHD are equal to each oth-...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...line, .fee. QED Proposition 29. — Theorem. If a straight line fall upon two parallel straightlines, it makes the alternate angles equal to one another, and the exterior angle eyual to the interior and opposite upon the same side; and also the two interior angles upon the same...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...straight line, falling upon two other, etc. QED Proposition XXIX. Theorem. If a straight line falls upon two parallel straight lines, it makes the alternate...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...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...angles, the two straight lines shall be parallel to one another. 29. Prove that if a straight line fall upon two parallel straight lines, it makes the alternate...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 22

Great Britain. Parliament. House of Commons - Great Britain - 1879
...which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...perpendiculars is the same whatever be the position of D. PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right...
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