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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...enclose a space. XL All right angles are equal to one another. xn. 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...two right + z GHD incrlps ' <two right angles. _ _ 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 Hence AB and CD meet, and are parallel. not unequal to z GHD. and ^EOB = iGHD,...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...inclose a space. 11. All right angles are equal to one another. 1 2. 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 two straight lines being continually produced shall at length meet on that side on which are the angles...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...BGH, GHD are less than two right + 2 GIID angles. _ ' ;~e"' But 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...straight lines cannot enclose a space. VI. That if a straight line meet two other straight lines, BO as to make the two interior angles on the same side...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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...therefore the angles BGH, GHD 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...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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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...4 is the only one where the rule is not necessarily true. (d) 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 on that side on which are the angles...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...two straight lines cannot enclose a space. VI. That if a straight line meet two other straight lmos, so as to make the two interior angles on the same...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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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 400 pages
...understood without making it an axiom.) Axiom 12. (See remark above.) If a straight line meets 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 upon that side in which are the...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the interior angles on the same side of 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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