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" If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
The Elements of Euclid [book 1] for beginners, by J. Lowres - Page 10
by Euclides - 1852
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...therefore the angles BEF, EFD are less than two right angles. But if a straight line meets two straight lines so as to make the two interior angles on the same side together less than two right angles, these straight lines, being continually produced, shall at length...
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The Popular Science Monthly, Volume 17

Science - 1880 - 924 pages
...al-ijiiara (requests) Euclid says : "Let it be granted that if a straight line meet two other straight lines, so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles,...
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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
...space. 11. All right angles are equal to one another. eJtV 12. If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles...
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The Popular Science Monthly, Volume 17

Science - 1880 - 900 pages
...alrrjuara (requests) Euclid says : " Let it be granted that if a straight line meet two other straight lines, so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles,...
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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
...enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...ev(.ry where the same distance apart. Euclid's twelfth Axiom. If a straight line meet two straight lines, so as to make the two interior angles on the...side of it taken together less than two right angles, those straight lines being continually produced, shall at length meet on that side on which are the...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...difficulty of assuming as an axiom (Euclid's axiom xn.) that if a straight line meets two straight lines so as to make the two interior angles on the same side of it taken together less than right angles these straight lines continually produced shall meet. Explain what is meant by exterior,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...another. xn If a straight line meets two straight lines, no as to make the two interior angles on thr same side of it, taken together, less than two right angles, these straight lines, oeing continually produced, shall at length meet T upon that side on which are the...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...these that the sixth postulate deals. It tells us that ' If a straight line meets two other straight lines so as to make the two interior angles on the...it, taken together less than two right angles, these lines, being continually produced, shall at length meet upon that side on which are the angles which...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...the angles BGH, GHD are together less than two right angles. But if a straight line meet two straight lines, so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced, shall at length meet on that side on which are the angles...
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