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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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Practical geometry for art students

John Carroll (art master.) - 1881
...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.) - 1882
...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...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 right...
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The Competitor, Volumer 3-4

1883
...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, Utgaver 1-5

Mary W I. Shilleto - 1882
...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...interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right-angles. Through two given...
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The Cambridge Examiner, Volum 2

1882
...be equal to a given line not greater than the diameter of the circle. 13. If a straight line fall on two parallel straight lines it makes the alternate...equal to the interior and opposite angle on the same sids ; and also the two interior angles on the same side together equal to two right angles. 14. Draw...
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Class lessons on Euclid

Marianne Nops - 1882
...— QED PROPOSITION XXVIII., THEOREM 19. 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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...admissible. NB — Capital letters, not numbers, must bo used in the diagrams. 1. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another. Show that the lines bisecting the external angles of an equilateral triangle are parallel to the sides....
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The Competitor, Volumer 1-2

1882
...than the diagonal of the sqnaie. 2. Prove that if a straight line fall on two parallel strnight line?, it makes the alternate angles equal to one another, and the exterior aog'e equal to the iuterior and opposite angle on the same side ; and nl-n the two interior angles...
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The Practical Teacher, Volum 2

1883
...to you by the Inspector. Euclid. [All generally understood abbreviations for words may be used.] 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 Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...to you by the Inspector. Euclid. [All generally understood abbreviations for words may be used.] 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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