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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 Elements of Geometry, Symbolically Arranged - Side 37
av Great Britain. Admiralty - 1846
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 sider
...triangle being entirely outside the quadrilateral ; prove that the triangle has the greater perimeter. 3. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to each other. Prove this ; and state clearly the axiom upon which your proof is based, and mention any...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...line fall on two parallel straight lines, it makes (a) the alternate angles equal to one another, (b) the exterior angle equal to the interior and opposite angle on the same side, (c) the two interior angles on the same side together equal to two right angles. Particular Enunciation....
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...to it. AF = BG. PROP. XXVIII. THEOREM. If a straight line fatting upon two other straight lines make the exterior angle equal to the interior and opposite angle on the same su/e of the line ; or make the two interior angles on the same side together equal to two right angles,...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...CD. [I. 27. Wherefore, if a straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one anotlier, and the exterior angle equal to the interior and opposite angle on the same side; and also...
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The Cambridge Examiner, Volum 3

1883
...angles, and the three interior angles of every triangle are together equal to two right angles. 6. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angles upon the same side, and likewise the two interior angles upon the same side together equal to...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...understood abbreviations for words may be used, but not symbols of operations, such as - , + , x .] 1. If a straight line fall upon two parallel straight...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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Practical geometry for art students

John Carroll (art master.) - 1881
...one diagonal О X and one side YZ being given. С — в Fiq 10 Figzz IH LESSON V.— OX PARALLELS. " If a straight line fall upon two parallel straight lines, it makes the alternate angles equal." — Euclid i. 29. Problem 25. — To draw a line parallel to a given straight line П J at a given...
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Guide to preliminary army examination

John Gibson - 1881
...oil two parallel straight lines BC, DE, it makes the alternate angles equal to one another, and tho 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. 4. Parallelograms...
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The Cambridge Examiner, Volum 4

1884
...pentagon about a given circle. • 10. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two...
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The Cambridge Examiner, Volum 1

1881
...le. 3. By two different methods describe a rectilineal angle equal to a given rectilineal angle. 4. 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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