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" ... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 26
by Robert Potts - 1876 - 403 pages
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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
...the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight...one another. Let the straight line EF, which falls on the two straight lines AB, CD, make the exterior angle EGB equal to the interior and opposite angle...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. (This is really two separate theorems, and we will •work them as such.) Particular Enunciation (PART...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. 7. If A be the vertex of an isosceles triangle ABC, and BA be produced so that AD is equal to BA, and...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...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 which is described upon the side subtending the right angle,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...straight lines, make the alternate angles equal to each other ; thete two liraight linen are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another. Then AB / shall be parallel to C D. ± '*- * For, if...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...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 be parallel. Shew that the distance between two parallel straight lines is always constant. 14. When the corner...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...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 between the same parallels, are equal to one another. Arc...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. j. Let the straight line EF, falling upon AB, \ CD make (1) the exterior Z EGB = the ^\. ' interior...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...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 are equal io one another,...
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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
...the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight...shall be parallel to one another. Let the straight lino EF, which falls on the two straight lines AH, CD, make the exterior angle EG-B equal to the interior...
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