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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 - 1868 - 434 pages
...enclose a space. XI. 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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...all right angles are equal ; and 6. That when two lines are met or crossed by a third line, so that the two interior angles on the same side of it taken together are less than two right angles, the two lines so crossed shall meet, if continually produced. — Smith's...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...That two straight lines cannot inclose a space. VI. 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...That two straight lines cannot inclose a space. VI. 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 shalj. at length meet upon that side, on which are the angles,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...a space. XL All right angles are equal to one another. XII. " 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 upon that side on which are the angles...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1873 - 238 pages
...its part. 10. Two straight lines can not inclose a space. 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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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...Twelfth Axiom, on which his Theory of Parallels depends, is " 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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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1874 - 207 pages
...its part. 10. Two straight lines can not inclose a space. 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 Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...inclose a space. 11. All right angles are equal to one another. • 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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...inclose a space. 11. All right angles are equal to one another. 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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