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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 Euclid: viz. the first six books, together with the eleventh ... - Page 26
by Robert Simson - 1835 - 513 pages
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...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 equal each to the other, and the exterior angle equal to the interior...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...angle upon the same side of the straight line • and the two interior angles upon the same side of it together equal to two right angles. Let the straight line EF fall upon the two parallel straight lines AB, CD. The twoalternate angles AGH, GHD are equal to one another. The...
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The Competitor, Volumes 3-4

1883 - 248 pages
...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...the same side together equal to two right angles. 3. Parallelogramsuponequalbases and between the same parallels, are equal to one another. K.— Algebra....
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...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. Let the straight line EF fall on the parallel straight lines AB, CD. I. It makes the alternate angles —7 B AGH, GHD equal. —...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...another, and the 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 angles. 5. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another. 3. Parallelograms upon the same base, and...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...exterior angle equal to the interior and opposite angle upon the same side of the line, or make the interior angles upon the same side together equal to two right angles, the two straight lines shall lie parallel to one another. 2. The opposite sides and angles of a parallelogram...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...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...the same side together equal to two right angles. See Prop. XXIX., Bk. I. 2. Straight lines bisecting two adjacent angles of a parallelogram are at right...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...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...the same side together equal to two right angles. See Prop. XXIX., Bk. I. 2. Straight lines bisecting two adjacent angles of a parallelogram are at right...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 514 pages
...exterior angle equal to the interior and opposite angle upon the same side of the line, or makes the interior angles upon the same. side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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