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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... "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 38
by Euclides - 1838
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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 - 654 pages
...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 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 - 568 pages
...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 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 - 516 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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...the exterior angle equal to the interior and opposite 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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...the exterior angle equal to the interior and opposite 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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 equal to two right angles. No straight line can be placed within a parallelogram greater than the greater diameter. 3. Triangles...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...straight lines must be parallel. 16. 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 to one another, and also the exterior angle equal to the interior...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...equality in triangles. 2. If a straight line fall upon two parallel straight lines, prove that it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...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 equal to two right angles. 5. To describe a parallelogram equal to a given recti- 16 lineal figure, and having an angle equal...
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