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" If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 27
av Euclides - 1837 - 88 sider
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht 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...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 sider
...impossible.- (Lemma.) .-. L AFG is =. the alternate L FGD. Hence are easily deduced the following Theorems: If a straight line fall upon two parallel straight lines, it makes the exterior L. = the interior and opposite upon the same side. straight lines AB, CD; / Let HK fall upon...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 sider
...also clear that they meet towards B, D, because GB lies between GN and HD. 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 sider
...clear that they meet towards B, D, because GB lies between GN and HD. QED PROPOSITION XXIX. THKOBEM. 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...therefore-4.B is parallel to. CD. (I. 27.) Wherefore, if a straight line, &c. ft. E. D PROPOSITION 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...
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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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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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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...equal to two right angles, the two straight lines shall be parallel to one another. 29. Prove that 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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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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Parliamentary Papers, Volum 22

Great Britain. Parliament. House of Commons - 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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