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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 ... - Page 27
by Euclides - 1837 - 88 pages
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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...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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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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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...CD. Wherefore if a straight line. — QED PROPOSITION XXIX., THEOREM 20. 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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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...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...exterior angle 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...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...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, Volumes 1-2

1882 - 480 pages
...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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...exterior angle equal to the interior and opposite angle on the game side; and also the two interior angles on the same side together equal to two right...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...so, is there any objection to the axiom ? If a straight line fall on two parallel straight line«, it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side toeether equal to two right...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...opposite sides parallel. 67. A rhombus and a rhomboid have their opposite sides parallel. PROP. 29. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal, the corresponding angles equal, and the two interior angles on the same side of it together equal to...
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