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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... "
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 314
1858
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...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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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...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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Practical geometry for art students

John Carroll (art master.) - Geometry - 1881 - 100 pages
...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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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...same side together equal to two right angles, and also the alternate angles equal each to the other, and the exterior angle equal to the interior and opposite angle upon the same side. Enunciate the converse of this proposition. 5. If any straight line joining two parallel straight lines...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...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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Practical geometry for art students

John Carroll (art master.) - Geometry - 1881 - 100 pages
...0 X and one side YZ being given. N 4F TE П,.» -+T LESSON V.— ON PARALLELS. " If a straight Ime 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 HJ at a given distance...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...half the line bisected, and of the square of the line made up of the half and the part produced. 4. If a straight line fall upon two parallel straight...interior and opposite angle upon the same side, and also the two interior angles upon the same side together equal to two right angles. 5. If a straight...
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The Competitor, Volumes 3-4

1883 - 248 pages
...square : a line drawn through A cuts CD, and meets BC produced at E. Show that AE is greater than AC. 2. 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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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...0, are respectively equal to the two diagonals of the parallelogram. 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-angles....
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