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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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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle upon the same side, and likewise the two interior...the same side together equal to two right angles. Same proposition. In the triangle ABC, AD bisecting the angle BAC meets EC in D, and DE, DF parallel...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 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 two parallel straight lines AB, CD : the alternate angles AGH, GHD shall be equal to one another,...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior angles upon the same side equal to two right angles. 3. Parallelograms upon the same base, and between the same parallels, are...
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(Report).

Elizabethan club - 1880 - 156 pages
...angles 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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Studies in Deductive Logic: A Manual for Students

William Stanley Jevons - Logic - 1880 - 370 pages
...proposition related to this other : — 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 ? [R.] 30. From 'Some members of Parliament are all the ministers' (Elementary Lessons, p. 325, No....
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 - Merchant marine - 1880 - 222 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 liiies shall be parallel to one another. 5. To describe a square upon a given straight...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...alternate angles equal to one another, and the exterior angle equal to the interior and opposite angles upon the same side, and likewise the two interior...the same side together equal to two right angles. 7. Find the side of a square equal to a given equilateral triangle. 8. If one angle of a triangle be...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 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. 2. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram...
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