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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 too interior angles upon the same side together... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 39
av John Playfair - 1819 - 317 sider
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 sider
...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...straight line EF fall upon the parallel straight lines AB,CD. Then, the alternate angles AGH, GHD shall be equal to one another, the exterior angle EGB shall...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 sider
...exterior angle equal to the opposite interior angle on the same side. 3. The two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel lines AB, CD. 1. The alternate angles B A GH, GHD will be equal to each other....
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 40 sider
...exterior angle equal to the interior and b 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. 29. Prove that if a straight line fall upon...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...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 two parallel straight lines AB, CD : the alternate angles AGH, GHD shall be equal to one another,...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 174 sider
...interior and opposite angle on the same side; and also the two interior angles on the same side taken together equal to two right angles. Let the straight line EF fall on the two parallel lines AB and CD. Then it is to be proved that 1 . The alternate angle AGH = the...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 222 sider
...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 liiies shall be parallel to one another. 5. To describe a square upon a given straight...
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(Report).

Elizabethan club - 1880 - 156 sider
...shall be equal to one another. equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles. If two intersecting straight lines be parallel or perpendicular to two other intersecting straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 172 sider
...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. In any right-angled triangle, the square...
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Class lessons on Euclid

Marianne Nops - 1882 - 274 sider
...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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