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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... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 100
by Euclides - 1858
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...descent of Queen Victoria from James I. EUCLID. — 1. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...exterior angle at the base of the triangle. 2. If a straight line fall upon two parallel straight Hues, it makes the alternate angles equal to one another,...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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...0. ED PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and alao the exterior angle equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 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, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...PROP. vin. THEOREM. (E. 1. 28-29.) If a itraiyht line fall upon two parallel straigU lines ; it makes the exterior angle equal to the interior and opposite angle upon the same side of the straight line and thii two interior angles upon the same side of it together equal to tico right...
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...parallel. PROPOSITION XXVI.—THEOREM. If one straight line intersect two other straight lines, and make the exterior angle equal to the interior and opposite angle upon the same side of the line, or make the sum of the interior angles on the same side equal to two right angles, the...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...shall be parallel to one another. 29. Prove that if a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...interior angles upon the same side together equal to two right angles. Same proposition. In the triangle ABC, AD bisecting the angle BAC meets EC in D, and...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pages
...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 angles equal to one...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 angles....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...whatever be the position of D. PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...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 angles....
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